Chapter 16.CM, Problem 1CM

To determine

To divide:

$\frac{786.1}{1000}$

Answer to Problem 1CM

Solution:

$\frac{7861.1}{1000}=0.7861$

Explanation of Solution

Dividing the numerals is carried by factorizing the numerator and denominator, dividing out the common factors, and continues the dividing as usually.

Calculation:

Given,

$\frac{786.1}{1000}$

Factorize $786.1$ as $1000\left(0.7861\right)$

1000 as $1000\left(1\right)$

$\frac{786.1}{1000}=\frac{1000\left(0.7861\right)}{1000\left(1\right)}$

$=\frac{1000}{1000}\cdot \frac{0.7861}{1}$

$=1\left(0.7861\right)$

$=0.7861$

Hence, $\frac{7861.1}{1000}=\mathrm{0.7861.}$

Final statement:

Therefore, $\frac{7861.1}{1000}=\mathrm{0.7861.}$